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Finding the Fourth Proportional to 35,512.78, 49,006.20 and 19,597.02

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Solution

The fourth proportional to 35,512.78, 49,006.20 and 19,597.02 is: 27,043.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,512.78 : 49,006.20 = 19,597.02 : x
  2. Step 2: Convert to fraction form
    35,512.78/49,006.20 = 19,597.02/x
  3. Step 3: Cross multiply
    35,512.78x = 49,006.20 × 19,597.02
  4. Step 4: Simplify right side
    35,512.78x = 960,375,481.52
  5. Step 5: Solve for x
    x = 960,375,481.52/35,512.78
  6. Step 6: Final answer
    x = 27,043.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.